1. What Is Point Slope Form?

Point slope form is a linear equation format that expresses a line using its slope and a single point on the line. The general form is: y - y₁ = m(x - x₁), where m represents the slope and (x₁, y₁) is a known point on the line.

2. How Does The Calculator Work?

The calculator uses the point slope formula:

Where:

• \( m \) — Slope of the line
• \( x_1 \) — x-coordinate of the known point
• \( y_1 \) — y-coordinate of the known point

Explanation: This form is particularly useful when you know one point on the line and the slope, allowing you to quickly write the equation of the line.

3. Importance Of Point Slope Form

Details: Point slope form is essential in algebra and coordinate geometry for writing linear equations, graphing lines, and solving problems involving linear relationships between variables.

4. Using The Calculator

Tips: Enter the coordinates of the known point (x₁, y₁) and the slope (m) of the line. The calculator will generate the point slope form equation.

5. Frequently Asked Questions (FAQ)

Q1: How is point slope form different from slope intercept form?
A: Point slope form uses a specific point and slope, while slope intercept form (y = mx + b) uses the slope and y-intercept.

Q2: Can I convert point slope form to other forms?
A: Yes, point slope form can be algebraically manipulated into slope intercept form or standard form.

Q3: When is point slope form most useful?
A: It's most useful when you're given a point and slope, or when you need to find the equation of a line parallel or perpendicular to another line through a specific point.

Q4: What if the slope is zero or undefined?
A: For zero slope (horizontal line), the equation becomes y = y₁. For undefined slope (vertical line), the equation becomes x = x₁.

Q5: Can I use decimal values for coordinates and slope?
A: Yes, the calculator accepts decimal values for all inputs, providing precise equation results.